The reading of a spring balance corresponds to 100 N while situat… - Vidyadip

MCQ

The reading of a spring balance corresponds to 100 N while situated at the north pole and a body is kept on it.
The weight recorded on the same scale if it is shifted to the equator (take, $g=10 m / s ^2$ and radius of the earth, R=$6.4 \times 10^3 m$) is :

A
106 N
B
97.66 N
C
110 N
D
99.66 N

✓

Answer

(d) 99.66 N
$
\begin{aligned}
& \text { Explanation: } g_{p}-g_{e}=R \omega^2=3.37 \times 10^{-2} ms^{-2} \\
& g_{e}=g_{p}-3.37 \times 10^{-2} ms^{-2} \\
& =(10-0.0337) ms^{-2} \\
& W_{e}=mg_{e}=\frac{100}{10} \times 9.9663 N=99.66 N
\end{aligned}
$

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